Course 2 Unit 1:

Functions, Equations, and Systems reviews and extends student ability to recognize, describe, and use
functional relationships among quantitative variables, with special emphasis on relationships that involve two or
more independent variables.

Topics include direct and inverse variation and joint variation; power functions; linear equations in standard form;
and systems of two linear equations with two variables, including solution by graphing, substitution, and
elimination.

Course 2 Unit 3

Coordinate Methods develops student understanding of coordinate methods for representing and analyzing
properties of geometric shapes, for describing geometric change, and for producing animations.

Topics include representing two-dimensional figures and modeling situations with coordinates, including
computer-generated graphics; distance in the coordinate plane, midpoint of a segment, and slope; coordinate and
matrix models of rigid transformations (translations, rotations, and line reflections), of size transformations, and
of similarity transformations; animation effects.

Course 1 Unit 5

Quadratic Functions develops student ability to recognize and represent quadratic relations between variables
using data tables, graphs, and symbolic formulas, to solve problems involving quadratic functions, and to express
quadratic polynomials in equivalent factored and expanded forms.

Topics include quadratic functions and their graphs, applications to projectile motion and economic problems,
expanding and factoring quadratic expressions, and solving quadratic equations by the quadratic formula and
calculator approximation.

Course 2 Unit 5

Nonlinear Functions and Equations introduces function notation, reviews and extends student ability to
construct and reason with functions that model parabolic shapes and other quadratic relationships in science and
economics, with special emphasis on formal symbolic reasoning methods, and introduces common logarithms
and algebraic methods for solving exponential equations.

Topics include formalization of function concept, notation, domain and range; factoring and expanding quadratic
expressions, solving quadratic equations by factoring and the quadratic formula, applications to supply and
demand, break-even analysis; common logarithms and solving exponential equations using base 10 logarithms.

Course 2 Unit 4

Regression and Correlation develops student understanding of the characteristics and interpretation of the least
squares regression equation and of the use of correlation to measure the strength of the linear association between
two variables.

Topics include interpreting scatterplots; least squares regression, residuals and errors in prediction, sum of
squared errors, influential points; Pearson’s correlation coefficient and its properties, lurking variables, and cause
and effect.